The most general form of a fourth-order isotropic tensor can be expressed by: where , , and

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The most general form of a fourth-order isotropic tensor can be expressed by:

+ ; +

where α, β, and γ  are arbitrary constants. Verify that this form remains the same under the general transformation given by (1.5.1)5.

d = = a, zero order (scalar) d = Qipap, first order (vector) aj = Lip liqapq, second order (matrix) a'ijk =


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